Identify the explicit formula for the nth term of the sequence written below.   4, -8, 64/3, -64, 1024/5, -2048/3

Q: Predict the general term, or nth term, an, for the sequence. 1 2 3 4 5 - - 5'6'7' 8' 9 an %3D II

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Q: nd Find the 72 term of the following arithmetic sequence. 13, 21, 29, 37, ...

A: Recall:  nth term of arithmetic sequence is, an=a1+(n-1)d where, a1=first term, d=common difference…

Q: What is the 2th term of the sequence defined below? = r 'n-1 +6.30

A: The given sequence is defined by r1=9 and rn=rn-1+6.30 So r2=r1+6.30…

Q: Find a formula for the nth term in this arithmetic sequence: a1 = 8, a2 = 4, a3 = 0, a4 = -4, ...…

A: See the details solution in below

Q: write an expression for the apparent nth term (a„) of the sequence. (Assume that n begins with 1.)…

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Q: Write an expression for the apparent nth term a,, of the sequence. (Assume that n begins with 1.) 2,…

A: The given sequence is  2,9,28,65,126.... We are asking to write an expression for the apparent nth…

Q: Find a formula for the nth term of the sequence. an= -1, 16, 81, 256, -625, ... Determine the…

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Q: Write the explicit formula of the sequence 25, 21, 17, 13

A: Given 25,21,17,13 It is in arthematic series Because it has difference 4 for each number.

Q: Find the formula fer the nth term of the sequence. a.) 니 6.

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Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48... an = (-2)n-1 an = 3(-2)n an =…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, . .…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: 2. Write an expression for the nth term of the sequence а) 2, 8, 14, 20 ... 1 1 1 b) 1, 4 ' 9 16

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: Find the indicated term for the given arithmetic sequence. The 70th term of - 1, - 8, - 15,... a70 =

A: We have to find 70th term of given sequence.

Q: Write an expression for the apparent nth term a n for the sequence. 10, −30, 90, −270, …

A: Given,The sequence -10, 30, -90, 270,…

Q: 3. State the next two terms of this sequence: 1, 3, 6, 10, 15 ...

A: We have the sequence 1 , 3 , 6 , 10 , 15 , ....... We can see the difference between each…

Q: Find the sum of the first n terms of the geometric sequence. n = 6, a, = 4, r = 3 S6 =U %3D

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Q: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

Q: What is a formula for the nth term of the given sequence? 250, 100, 40...

A: Given Data: Sequence: 250, 100, 40...   The given sequence is a geometric sequence.   The constant…

Q: Write an expression that gives the requested sum. The sum of the first 32 terms of the geometric…

A: The given geometric sequence is: 1,2,4,... There are total 32 terms.

Q: Write a formula for the general term (the nth term) of the sequence 3, 6, 12, 24, . . . ; a10. Then…

A: we have to write a formula for the general term (the nth term) of the sequence 3,6,12,24,... we have…

Q: Write an expression for the apparent nth term (a,) of the sequence. (Assume that n begins with 1.)…

A: 93, 86, 79, 72, 65, ....... It is an arithmetic sequence with, First term=a=93Common…

Q: Write a rule for the n th term of the sequence. Then find a- 11.7,10.8,9.9,9,.. 0.9n+ 12.6

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Q: Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.)…

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Q: What is a formula for the nth term of the given sequence? 4, 16, 64... An = 4(4)1-n Am = 1(;)n…

A: We are given a sequence : 4,16,64,... We need to find the formula for nth term of the sequence.…

Q: write the first five terms of the sequence. assume n begins with 0. an= (-1)^(n+4)! %3D

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Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

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Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48.. An = (-2)n-1 an = 3(-2)n an =…

A: To find the direct formula of a sequence  3,-6,12,-24,48,.....

Q: Write an expression that gives the requested sum. The sum of the first 38 terms of the geometric…

A: We know that a geometric sequence is a sequence with the ratio of consecutive terms constant. This…

Q: Predict the general term, or nth term, an, of the sequence. 6, 12, 18, 24, 30, ... an=0 (Simplify…

A: Given sequence: 6, 12, 18, 24,....To find: General term

Q: Predict the general term, or nth term, an, of the sequence. 3, 6, 9, 12, 15, ... an (Simplify your…

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Q: 3. Write an expression for the general term of the sequence 0, 3, 8, 15, 24, .

A: Sequence given is- 0,3,8,15,24,... We have to find the general term for the sequence given. For…

Q: Write an expression that gives the requested sum. The sum of the first 32 terms of the geometric…

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Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: The sequence is given as 3, 12, 21, 30, ....

Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

A: 14, 11, 8, 5 ,...To find:da5ana100

Q: Find the formula of the nth term of the sequence {1,2,4,8,16,..}

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Q: Determine the harmonic mean of the first 4 terms of the sequence: 3, 5, 7,- a. 6 b. 5.08 c. 5.12 d.…

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Q: Find the 21th term of the given sequence 2, 1, 1/2, 1/4, 1/8…

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Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: Sequence is,  {5, 1, 0.2, 0.04, ....... }    Hence,  Ratio of T2 and T1  =  1/5  Ratio of T3 and T2…

Q: Write a formula for the n th term of the geometric sequence. Write your answers as integers or…

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Q: *Find the nth term of the sequence below, starting with n = 0 .. no 3 3 -147,21,-3, | 49

A: To find the nth term of the sequence . First rewrite the terms of  sequence in the form where index…

Q: Write a formula for the general term (the nth term) of the sequence 2, 6, 10, 14, . . . ; a20. Then…

A: Given: 2,6,10,14,............,a20 according to given data given sequence is arithmetic sequence…

Q: Which equation can be used to find the nth term for the sequence below? 2, 5, 10, 17, .. t= term n=…

A: The equation is:-

Q: Find the first four terms and the 100th term of the sequence whose nth term is given. an = n − 3 a1…

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Q: 1 4 9 9 16 3'9 27'81

A: The given first four term are -13,49,-927,1681. Rewrite the first four term as follows:…

Q: What is a formula for the nth term of the given sequence? 300, 180, 108...

A: the given sequence is 300, 180, 108...........

Q: What is a formula for the nth term of the given sequence? -8, 1, 10... an = -8(9)" an = 1+9(n – 1)…

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Q: Find the sum of the first 15 terms of the geometric sequence shown below. 2, 6, 18, 54. . The sum of…

A: Given geometric sequence is: 2, 6, 18, 54, ...

Q: 11. Write the formula for the nth term of the following sequence: 3,-9, 27,-81, 243, -..

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.